Differentiable Manifolds 2nd Edition by Lawrence Conlon ISBN 081764766X 978-0817647667

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Product details: 

ISBN 10: 081764766X 

ISBN 13: 978-0817647667

Author:  Lawrence Conlon

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry. Differentiable Manifolds is a text designed to cover this material in a careful and sufficiently detailed manner, presupposing only a good foundation in general topology, calculus, and modern algebra. This second edition contains a significant amount of new material, which, in addition to classroom use, will make it a useful reference text. Topics that can be omitted safely in a first course are clearly marked, making this edition easier to use for such a course, as well as for private study by non-specialists wishing to survey the field.

Table of contents: 

1. The Local Theory of Smooth Functions

2. The Global Theory of Smooth Functions

3. Flows and Foliations

4. Lie Groups and Lie Algebras

5. Covectors and 1-Forms

6. Multilinear Algebra and Tensors

7. Integration of Forms and de Rham Cohomology

8. Forms and Foliations

9. Riemannian Geometry

10. Principal Bundles

11. Appendix A: Construction of the Universal Covering

12. Ordinary Differential Equations

13. The de Rham Cohomology Theorem

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Tags: Lawrence Conlon, Differentiable Manifolds